Question

Simplify i 30

Answer 1

\( \color{Black}{\Rightarrow (i^2)^{15} }\)
\( \color{Black}{\Rightarrow (-1)^{15} }\)

Answer 2

i

–i

1

–1

Answer 3

-1

Answer 4

A trick to help you remember is that anything to the first power is just itself. Anything to the 0th power is 1, and i squared is -1 by definition. So i^3 is just i^2*i which is just -i.

To find out what it is in these lower terms, just divide the exponent by 4 and the remainder is the equivalent power, since every 4 it becomes the same!